{
  "id": "1404.1409",
  "version": "v3",
  "published": "2014-04-04T23:00:52.000Z",
  "updated": "2014-09-24T09:57:10.000Z",
  "title": "Unifying approach to the quantification of bipartite correlations by Bures distance",
  "authors": [
    "Thomas R. Bromley",
    "Marco Cianciaruso",
    "Rosario Lo Franco",
    "Gerardo Adesso"
  ],
  "comment": "18 pages, 4 figures; published version",
  "journal": "J. Phys. A: Math. Theor. 47, 405302 (2014)",
  "doi": "10.1088/1751-8113/47/40/405302",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The notion of distance defined on the set of states of a composite quantum system can be used to quantify total, quantum and classical correlations in a unifying way. We provide new closed formulae for classical and total correlations of two-qubit Bell-diagonal states by considering the Bures distance. Complementing the known corresponding expressions for entanglement and more general quantum correlations, we thus complete the quantitative hierarchy of Bures correlations for Bell-diagonal states. We then explicitly calculate Bures correlations for two relevant families of states: Werner states and rank-2 Bell-diagonal states, highlighting the subadditivity which holds for total correlations with respect to the sum of classical and quantum ones when using Bures distance. Finally, we analyse a dynamical model of two independent qubits locally exposed to non-dissipative decoherence channels, where both quantum and classical correlations measured by Bures distance exhibit freezing phenomena, in analogy with other known quantifiers of correlations.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-07-30T01:04:31.000Z",
      "comment": "17 pages, 4 figures; revised and expanded, definition of classical correlations improved",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2014-09-24T09:57:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bures distance",
      "bipartite correlations",
      "unifying approach",
      "quantification",
      "bures correlations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2014,
      "month": "Oct",
      "volume": 47,
      "number": 40,
      "pages": 405302
    },
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014JPhA...47N5302B"
    }
  }
}